Page 619 - Basic College Mathematics with Early Integers

596 C HAPTE R 8 I INTRODUCTION TO ALGEBRA

f. In words:
the sum of
ƒ
twice a
9 and
number
T T T
Translate: 9 + 2x
Work Practice 1

Objective Writing Sentences as Equations

Now that we have practiced writing phrases as algebraic expressions, let’s write sen-
tences as equations.You may want to first study the key words and phrases chart to
review some key words and phrases that translate to an equal sign.

PRACTICE 2 Example 2 Write each sentence as an equation. Use x to represent “a number.”
Write each sentence as an
a. Nine increased by a number is 5. b. Twice a number equals -10.
equation. Use x to represent
“a number.” c. A number minus 6 amounts to 168. d. Three times the sum of a number
a. Five times a number is 20. e. The quotient of twice a number and and 5 is -30.
8 is equal to 2.
b. The sum of a number and
-5 yields 14.
Solution:
c. Ten subtracted from a
number amounts to -23. a. In words: increased
d. Five times the difference nine by a number is 5
of a number and 7 is equal
to -8. T T T T T
Translate: 9 + x = 5
e. The quotient of triple a
number and 5 gives 1. b. In words: twice a
equals 10
number
T T T
Translate: 2x = -10
c. In words: amounts
a number minus 6 168
to
T T T T T
Translate: x - 6 = 168
d. In words:
three the sum of a
is 30
times number and 5
T T T T
Translate: 3 1x + 52 = -30
e. In words:
the quotient
of

ƒ
twice a is equal
and 8 2
number to
T T T T T
Answers Translate: 2x , 8 = 2 Copyright 2012 Pearson Education, Inc.
2. a. 5x = 20 b. x + 1-52 = 14 2x
or = 2
c. x - 10 =-23 d. 51x - 72 =-8 8
3x
e. = 1 or 3x , 5 = 1
5 Work Practice 2